1298890338816 has 640 divisors, whose sum is σ = 4385136476160. Its totient is φ = 332889587712.

The previous prime is 1298890338803. The next prime is 1298890338817. The reversal of 1298890338816 is 6188330988921.

It is a happy number.

It is a super-2 number, since 2×1298890338816² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1298890338817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2139851985 + ... + 2139852591.

It is an arithmetic number, because the mean of its divisors is an integer number (6851775744).

Almost surely, 2^{1298890338816} is an apocalyptic number.

1298890338816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1298890338816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192568238080).

1298890338816 is an abundant number, since it is smaller than the sum of its proper divisors (3086246137344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1298890338816 is a wasteful number, since it uses less digits than its factorization.

1298890338816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 66.

The spelling of 1298890338816 in words is "one trillion, two hundred ninety-eight billion, eight hundred ninety million, three hundred thirty-eight thousand, eight hundred sixteen".